Question

What is the answer to 2/5+1/10=1/2n+1

Answer 1

`(2)/(5)n+(1)/(10)=(1)/(2)(n+4)\ \ \ |\text{change the fractions in decimal}\\\\(2\cdot2)/(5\cdot2)n+0.1=0.5(n+4)\ \ \ \ |\text{use distributive property}\\\\(4)/(10)n+0.1=0.5n+0.5\cdot4\\\\0.4n+0.1=0.5n+2\ \ \ \ |-0.1\\\\0.4n=0.5n+1.9\ \ \ \ |-0.5n\\\\-0.1n=1.9\ \ \ \ |\cdot(-10)\\\\n=-19`